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Chapter 12: Problem 2

Give an example of an object on which the net torque about the center of gravity is zero, but that isn't in static equilibrium.

Short Answer

Expert verified
A car accelerating in a straight line is an example of an object where the net torque acting on it is zero, yet it is not in a state of static equilibrium because the forces acting on it do not balance out, therefore the car isn't stationary.

Step by step solution

01

Identify the Requirements for Static Equilibrium

For static equilibrium to occur, two conditions need to be met: 1. The net force acting on the body needs to be zero, meaning the forces experienced by the object should balance each other out. 2. The net torque about any point must be zero, meaning the torques experienced by the system about any point or axis should balance each other out.
02

Define the Scenarios

It's important to note that it's possible for the torques to balance out, without the forces balancing out. For instance, consider a moving car on a straight smooth road. The engine provides a force moving the car forward, while air resistance and friction provide a force in the opposite direction. However, these forces do not necessarily balance each other out.
03

Analyze the forces and Torques

If the car is moving with constant velocity, then the forces are in balance. However, if the car is accelerating, even if it's moving in a straight line with no rotation, the forces are not in balance - the force provided by the engine is greater than the resistive forces of friction and air resistance.

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